I've just upgraded my "Globe Rom" on my Xiomi Redmi Note 3 Pro, from a previous Globe rom which was about one year old ...
The battery consumption seems a bit faster than before after flash, and when I check with "CPU Spy Plus" the frequency used, I notice that the phone is about 2/3 of the time in "deep sleep" (which is good !) but the last 1/3 of the time always at the maximum frequency (4h32mn at 1401 MHz, and only 6mn at frequency between 691MHz and 1305 MHz). I remember that the intermediate frequencies were used on my previous Globe Rom

I don't understand why the lower intermediate frequencies are not used.
I notice in the CPU Info that governor mode is "interactive" => this is probably more consuming on CPU than "on demand" or other mode.

I tried to use "govtuner" (flashed with TWRP, then activated through Terminal Emulator) but it doesn't seem to change anything on the governor mode.

Is there an option to change the governor mode in the ROM ? Or to drain less battery ?

I got just the same situation with my Redmi Note 4x. I do like the phone for its ability to stay cold despite reasonable performance.
Last 2 attempts to update turned it upside down, i even had an overheat reboot 2 days ago. It was hot, +44, but it had no issues and stayed cold or reasonably warm (4k video rec in the same confitions) before.
Kernel Adiutor(ROOT) seems to be working in my case. I was able to mofify the governor, CPU Spy Plus has changed to "ondemand" and the temperature went back to its prev range. Feel better, i'm in Africa, and the summer 's just starting.
Hope it helps. Didnt check with reboots - i dont do them often, the ROM is overall very good, and so on. Luck

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